Respuesta :
0.16666... = 0.1 + 0.06666...
x = 0.06666... / · 10
10 x = 0.66666...
10 x = 0.6 + 0.6666...
10 x = 0.6 + x
9 x = 0.6
x = 0.6/9 = 6/90 = 1/15
0.166666... = 0.1 + 1/15 = 1/10 + 1/15 = (2 + 3) / 30 = 5/30 = 1/6
Answer: 0.16666...= 1/6
x = 0.06666... / · 10
10 x = 0.66666...
10 x = 0.6 + 0.6666...
10 x = 0.6 + x
9 x = 0.6
x = 0.6/9 = 6/90 = 1/15
0.166666... = 0.1 + 1/15 = 1/10 + 1/15 = (2 + 3) / 30 = 5/30 = 1/6
Answer: 0.16666...= 1/6